101312100031 has 8 divisors (see below), whose sum is σ = 102111685760. Its totient is φ = 100513524888.

The previous prime is 101312100023. The next prime is 101312100061. The reversal of 101312100031 is 130001213101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101312100031 - 2³ = 101312100023 is a prime.

It is a super-2 number, since 2×101312100031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101312099984 and 101312100020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312100061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50721 + ... + 452986.

It is an arithmetic number, because the mean of its divisors is an integer number (12763960720).

Almost surely, 2^101312100031 is an apocalyptic number.

101312100031 is a deficient number, since it is larger than the sum of its proper divisors (799585729).

101312100031 is a wasteful number, since it uses less digits than its factorization.

101312100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505293.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101312100031 its reverse (130001213101), we get a palindrome (231313313132).

The spelling of 101312100031 in words is "one hundred one billion, three hundred twelve million, one hundred thousand, thirty-one".