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133012343210331 = 313194312511333667
BaseRepresentation
bin11110001111100101011001…
…011101111100000101011011
3122102221212002220012121122010
4132033211121131330011123
5114413233234330212311
61150521005451201003
740005552601420524
oct3617453135740533
9572855086177563
10133012343210331
1139422244132582
1212b02824746163
13592b019396530
1424bbb904d384b
151059e52754da6
hex78f95977c15b

133012343210331 has 64 divisors (see below), whose sum is σ = 205736805908480. Its totient is φ = 75735989159040.

The previous prime is 133012343210291. The next prime is 133012343210339.

It is a happy number.

133012343210331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133012343210331 - 26 = 133012343210267 is a prime.

It is a super-2 number, since 2×1330123432103312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133012343210339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398471160 + ... + 398804826.

It is an arithmetic number, because the mean of its divisors is an integer number (3214637592320).

Almost surely, 2133012343210331 is an apocalyptic number.

133012343210331 is a deficient number, since it is larger than the sum of its proper divisors (72724462698149).

133012343210331 is a wasteful number, since it uses less digits than its factorization.

133012343210331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346256.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 133012 and 343210331, that added together give a palindrome (343343343).

The spelling of 133012343210331 in words is "one hundred thirty-three trillion, twelve billion, three hundred forty-three million, two hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 13 19 39 43 57 129 247 559 741 817 1677 2451 10621 12511 31863 37533 162643 237709 333667 487929 537973 713127 1001001 1613919 3090217 4337671 6339673 6993649 9270651 10221487 13013013 14347681 19019019 20980947 30664461 43043043 82415749 132879331 186519853 247247247 272605939 398637993 559559559 817817817 3543877207 4174507837 10631631621 12523523511 54268601881 79315648903 162805805643 179503836991 237946946709 538511510973 1031103435739 2333549880883 3093310307217 3410572902829 7000649642649 10231718708487 44337447736777 133012343210331