31033133133013 has 48 divisors (see below), whose sum is σ = 36879340463280. Its totient is φ = 25997506191360.

The previous prime is 31033133132957. The next prime is 31033133133131.

31033133133013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 341455572964 + 30691677560049 = 584342^2 + 5540007^2 .

It is a de Polignac number, because none of the positive numbers 2^k-31033133133013 is a prime.

It is a super-4 number, since 4×31033133133013⁴ (a number of 55 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31033133133313) 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, 19817803 + ... + 21326311.

It is an arithmetic number, because the mean of its divisors is an integer number (768319592985).

Almost surely, 2^{31033133133013} is an apocalyptic number.

It is an amenable number.

31033133133013 is a deficient number, since it is larger than the sum of its proper divisors (5846207330267).

31033133133013 is a wasteful number, since it uses less digits than its factorization.

31033133133013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508758 (or 1508747 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 28.

It can be divided in two parts, 3103313 and 3133013, that added together give a palindrome (6236326).

The spelling of 31033133133013 in words is "thirty-one trillion, thirty-three billion, one hundred thirty-three million, one hundred thirty-three thousand, thirteen".