1013213300031 has 48 divisors (see below), whose sum is σ = 1549889682432. Its totient is φ = 636962486400.

The previous prime is 1013213300027. The next prime is 1013213300051. The reversal of 1013213300031 is 1300033123101.

It is a happy number.

1013213300031 is a `hidden beast` number, since 10 + 1 + 321 + 3 + 300 + 0 + 31 = 666.

It is not a de Polignac number, because 1013213300031 - 2² = 1013213300027 is a prime.

It is a super-2 number, since 2×1013213300031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013213299977 and 1013213300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013213300051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1390776 + ... + 1990146.

It is an arithmetic number, because the mean of its divisors is an integer number (32289368384).

Almost surely, 2^{1013213300031} is an apocalyptic number.

1013213300031 is a deficient number, since it is larger than the sum of its proper divisors (536676382401).

1013213300031 is a wasteful number, since it uses less digits than its factorization.

1013213300031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599564 (or 599561 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1013213300031 its reverse (1300033123101), we get a palindrome (2313246423132).

The spelling of 1013213300031 in words is "one trillion, thirteen billion, two hundred thirteen million, three hundred thousand, thirty-one".