1331010332031 has 16 divisors (see below), whose sum is σ = 1802876781056. Its totient is φ = 873294561216.

The previous prime is 1331010331997. The next prime is 1331010332033. The reversal of 1331010332031 is 1302330101331.

It is not a de Polignac number, because 1331010332031 - 2²⁶ = 1330943223167 is a prime.

It is a super-2 number, since 2×1331010332031² (a number of 25 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 = 1331010331989 and 1331010332007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331010332033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6461965 + ... + 6664758.

It is an arithmetic number, because the mean of its divisors is an integer number (112679798816).

Almost surely, 2^{1331010332031} is an apocalyptic number.

1331010332031 is a deficient number, since it is larger than the sum of its proper divisors (471866449025).

1331010332031 is a wasteful number, since it uses less digits than its factorization.

1331010332031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13127262.

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

Adding to 1331010332031 its reverse (1302330101331), we get a palindrome (2633340433362).

The spelling of 1331010332031 in words is "one trillion, three hundred thirty-one billion, ten million, three hundred thirty-two thousand, thirty-one".