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133013101133221 = 53107809115125189
BaseRepresentation
bin11110001111100110000110…
…101001001011110110100101
3122102221221001201101002101021
4132033212012221023312211
5114413241312342230341
61150521213004131141
740005610433565331
oct3617460651136645
9572857051332337
10133013101133221
11394225a2a44231
1212b029b6536ab1
13592b10a40630a
1424bbc230287c1
151059e990699d1
hex78f986a4bda5

133013101133221 has 32 divisors (see below), whose sum is σ = 137082867609600. Its totient is φ = 129006649075200.

The previous prime is 133013101133207. The next prime is 133013101133291. The reversal of 133013101133221 is 122331101310331.

It is not a de Polignac number, because 133013101133221 - 27 = 133013101133093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133013101133291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5280590095 + ... + 5280615283.

It is an arithmetic number, because the mean of its divisors is an integer number (4283839612800).

Almost surely, 2133013101133221 is an apocalyptic number.

It is an amenable number.

133013101133221 is a deficient number, since it is larger than the sum of its proper divisors (4069766476379).

133013101133221 is a wasteful number, since it uses less digits than its factorization.

133013101133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27309.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 133013101133221 its reverse (122331101310331), we get a palindrome (255344202443552).

The spelling of 133013101133221 in words is "one hundred thirty-three trillion, thirteen billion, one hundred one million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 53 107 809 1151 5671 25189 42877 61003 86563 123157 931159 1335017 2695223 4587839 6527321 20377901 28992539 49351427 99634013 142846819 1080028753 1536604567 2180435407 3102201673 5280602689 23454964051 115563076571 164416688669 1243113094703 2509681153457 133013101133221