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131221302110213 = 75310315139757283
BaseRepresentation
bin11101110101100001010111…
…000110010110100000000101
3122012121122010011101201102012
4131311201113012112200011
5114144412211320011323
61143030122312424005
736432266123311220
oct3565412706264005
9565548104351365
10131221302110213
11388a1707121a87
12128736986a8005
13582b167241123
1424592058bc5b7
1510285794aa678
hex775857196805

131221302110213 has 64 divisors (see below), whose sum is σ = 155695866273792. Its totient is φ = 108282776659200.

The previous prime is 131221302110149. The next prime is 131221302110219. The reversal of 131221302110213 is 312011203122131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131221302110213 - 26 = 131221302110149 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 (131221302110219) 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, 2290726070 + ... + 2290783352.

It is an arithmetic number, because the mean of its divisors is an integer number (2432747910528).

Almost surely, 2131221302110213 is an apocalyptic number.

It is an amenable number.

131221302110213 is a deficient number, since it is larger than the sum of its proper divisors (24474564163579).

131221302110213 is a wasteful number, since it uses less digits than its factorization.

131221302110213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57994.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 131221302110213 its reverse (312011203122131), we get a palindrome (443232505232344).

The spelling of 131221302110213 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, three hundred two million, one hundred ten thousand, two hundred thirteen".

Divisors: 1 7 53 103 151 371 397 721 1057 2779 5459 8003 15553 21041 38213 40891 56021 57283 59947 108871 147287 286237 400981 419629 824309 2167223 3035999 3177191 5770163 5900149 6174541 8649733 15170561 21251993 22240337 22741351 41301043 43221787 60548131 159189457 312707897 327250673 458435849 890922499 1205291603 2188955279 2290754711 2342359153 3209050943 3433944001 6236457493 8437041221 16396514071 24037608007 47218892447 124145035109 181999032053 330532247129 353696232103 869015245763 1273993224371 2475873624721 18745900301459 131221302110213