101311967682 has 48 divisors (see below), whose sum is σ = 226242944928. Its totient is φ = 32744813760.

The previous prime is 101311967677. The next prime is 101311967699. The reversal of 101311967682 is 286769113101.

101311967682 is a `hidden beast` number, since 101 + 311 + 96 + 76 + 82 = 666.

It is a super-2 number, since 2×101311967682² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300808 + ... + 541395.

It is an arithmetic number, because the mean of its divisors is an integer number (4713394686).

Almost surely, 2^101311967682 is an apocalyptic number.

101311967682 is an abundant number, since it is smaller than the sum of its proper divisors (124930977246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101311967682 is a wasteful number, since it uses less digits than its factorization.

101311967682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842415 (or 842412 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

It can be divided in two parts, 1013119 and 67682, that added together give a palindrome (1080801).

The spelling of 101311967682 in words is "one hundred one billion, three hundred eleven million, nine hundred sixty-seven thousand, six hundred eighty-two".