1031111001013 has 4 divisors (see below), whose sum is σ = 1048014460108. Its totient is φ = 1014207541920.

The previous prime is 1031111000939. The next prime is 1031111001017. The reversal of 1031111001013 is 3101001111301.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 76517517924 + 954593483089 = 276618^2 + 977033^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031111001013 - 2⁹ = 1031111000501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1031111000984 and 1031111001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031111001017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8451729456 + ... + 8451729577.

It is an arithmetic number, because the mean of its divisors is an integer number (262003615027).

Almost surely, 2^{1031111001013} is an apocalyptic number.

It is an amenable number.

1031111001013 is a deficient number, since it is larger than the sum of its proper divisors (16903459095).

1031111001013 is an equidigital number, since it uses as much as digits as its factorization.

1031111001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16903459094.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1031111001013 its reverse (3101001111301), we get a palindrome (4132112112314).

The spelling of 1031111001013 in words is "one trillion, thirty-one billion, one hundred eleven million, one thousand, thirteen".