10011011012031 has 32 divisors (see below), whose sum is σ = 13637950326720. Its totient is φ = 6529766390784.

The previous prime is 10011011012017. The next prime is 10011011012039. The reversal of 10011011012031 is 13021011011001.

It is not a de Polignac number, because 10011011012031 - 2¹¹ = 10011011009983 is a prime.

It is a super-2 number, since 2×10011011012031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011011011998 and 10011011012016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011011012039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98118315 + ... + 98220291.

It is an arithmetic number, because the mean of its divisors is an integer number (426185947710).

Almost surely, 2^{10011011012031} is an apocalyptic number.

10011011012031 is a deficient number, since it is larger than the sum of its proper divisors (3626939314689).

10011011012031 is a wasteful number, since it uses less digits than its factorization.

10011011012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103755.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10011011012031 its reverse (13021011011001), we get a palindrome (23032022023032).

The spelling of 10011011012031 in words is "ten trillion, eleven billion, eleven million, twelve thousand, thirty-one".