1013330321031 has 64 divisors (see below), whose sum is σ = 1656261734400. Its totient is φ = 537886642176.

The previous prime is 1013330320999. The next prime is 1013330321083. The reversal of 1013330321031 is 1301230333101.

It is not a de Polignac number, because 1013330321031 - 2⁵ = 1013330320999 is a prime.

It is a super-2 number, since 2×1013330321031² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1013330320989 and 1013330321007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013330331031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106292341 + ... + 106301873.

It is an arithmetic number, because the mean of its divisors is an integer number (25879089600).

Almost surely, 2^{1013330321031} is an apocalyptic number.

1013330321031 is a deficient number, since it is larger than the sum of its proper divisors (642931413369).

1013330321031 is a wasteful number, since it uses less digits than its factorization.

1013330321031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13408.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1013330321031 its reverse (1301230333101), we get a palindrome (2314560654132).

The spelling of 1013330321031 in words is "one trillion, thirteen billion, three hundred thirty million, three hundred twenty-one thousand, thirty-one".