10010312100031 has 8 divisors (see below), whose sum is σ = 10015964518320. Its totient is φ = 10004660175552.

The previous prime is 10010312100011. The next prime is 10010312100073. The reversal of 10010312100031 is 13000121301001.

10010312100031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10010312100031 - 2⁵ = 10010312099999 is a prime.

It is a super-2 number, since 2×10010312100031² (a number of 27 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 = 10010312099984 and 10010312100020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010312100011) 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, 45061476 + ... + 45283078.

It is an arithmetic number, because the mean of its divisors is an integer number (1251995564790).

Almost surely, 2^{10010312100031} is an apocalyptic number.

10010312100031 is a deficient number, since it is larger than the sum of its proper divisors (5652418289).

10010312100031 is a wasteful number, since it uses less digits than its factorization.

10010312100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246905.

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

Adding to 10010312100031 its reverse (13000121301001), we get a palindrome (23010433401032).

The spelling of 10010312100031 in words is "ten trillion, ten billion, three hundred twelve million, one hundred thousand, thirty-one".