10100311120031 has 8 divisors (see below), whose sum is σ = 11046275688144. Its totient is φ = 9158972296320.

The previous prime is 10100311120021. The next prime is 10100311120057. The reversal of 10100311120031 is 13002111300101.

It is a happy number.

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

It is not a de Polignac number, because 10100311120031 - 2¹⁴ = 10100311103647 is a prime.

It is a super-2 number, since 2×10100311120031² (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 = 10100311119988 and 10100311120015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100311120001) 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, 1156431530 + ... + 1156440263.

It is an arithmetic number, because the mean of its divisors is an integer number (1380784461018).

Almost surely, 2^{10100311120031} is an apocalyptic number.

10100311120031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100311120031 is a deficient number, since it is larger than the sum of its proper divisors (945964568113).

10100311120031 is a wasteful number, since it uses less digits than its factorization.

10100311120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312872201.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10100311120031 its reverse (13002111300101), we get a palindrome (23102422420132).

The spelling of 10100311120031 in words is "ten trillion, one hundred billion, three hundred eleven million, one hundred twenty thousand, thirty-one".