31275457213 has 84 divisors (see below), whose sum is σ = 43447330780. Its totient is φ = 22495833360.

The previous prime is 31275457211. The next prime is 31275457219.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

31275457213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1153077849 + 30122379364 = 33957^2 + 173558^2 .

It is not a de Polignac number, because 31275457213 - 2¹ = 31275457211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31275457211) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2405804395 + ... + 2405804407.

Almost surely, 2^31275457213 is an apocalyptic number.

It is an amenable number.

31275457213 is a deficient number, since it is larger than the sum of its proper divisors (12171873567).

31275457213 is an frugal number, since it uses more digits than its factorization.

31275457213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 31 counting only the distinct ones).

The product of its digits is 176400, while the sum is 40.

The spelling of 31275457213 in words is "thirty-one billion, two hundred seventy-five million, four hundred fifty-seven thousand, two hundred thirteen".