101312000631 has 24 divisors (see below), whose sum is σ = 146542141824. Its totient is φ = 67447915920.

The previous prime is 101312000561. The next prime is 101312000653. The reversal of 101312000631 is 136000213101.

101312000631 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 2 + 0 + 0 + 0 + 631 = 666.

It is not a de Polignac number, because 101312000631 - 2¹¹ = 101311998583 is a prime.

It is a super-2 number, since 2×101312000631² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312000131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37424580 + ... + 37427286.

It is an arithmetic number, because the mean of its divisors is an integer number (6105922576).

Almost surely, 2^101312000631 is an apocalyptic number.

101312000631 is a deficient number, since it is larger than the sum of its proper divisors (45230141193).

101312000631 is a wasteful number, since it uses less digits than its factorization.

101312000631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101312000631 its reverse (136000213101), we get a palindrome (237312213732).

The spelling of 101312000631 in words is "one hundred one billion, three hundred twelve million, six hundred thirty-one", and thus it is an aban number.