10120310000031 has 128 divisors (see below), whose sum is σ = 17983220023296. Its totient is φ = 4900824391680.

The previous prime is 10120310000023. The next prime is 10120310000033. The reversal of 10120310000031 is 13000001302101.

It is not a de Polignac number, because 10120310000031 - 2³ = 10120310000023 is a prime.

It is a super-2 number, since 2×10120310000031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120309999971 and 10120310000016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120310000033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 702450630 + ... + 702465036.

It is an arithmetic number, because the mean of its divisors is an integer number (140493906432).

Almost surely, 2^{10120310000031} is an apocalyptic number.

10120310000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120310000031 is a deficient number, since it is larger than the sum of its proper divisors (7862910023265).

10120310000031 is a wasteful number, since it uses less digits than its factorization.

10120310000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16141.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10120310000031 its reverse (13000001302101), we get a palindrome (23120311302132).

The spelling of 10120310000031 in words is "ten trillion, one hundred twenty billion, three hundred ten million, thirty-one", and thus it is an aban number.