31475433457413 has 128 divisors (see below), whose sum is σ = 52964271360000. Its totient is φ = 18306336545280.

The previous prime is 31475433457381. The next prime is 31475433457451.

31475433457413 is a `hidden beast` number, since 3 + 1 + 4 + 7 + 54 + 3 + 3 + 4 + 574 + 13 = 666.

31475433457413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31475433457413 - 2⁵ = 31475433457381 is a prime.

It is a super-2 number, since 2×31475433457413² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31475433457413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31475433457453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1468539345 + ... + 1468560777.

It is an arithmetic number, because the mean of its divisors is an integer number (413783370000).

Almost surely, 2^{31475433457413} is an apocalyptic number.

31475433457413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31475433457413 is a deficient number, since it is larger than the sum of its proper divisors (21488837902587).

31475433457413 is a wasteful number, since it uses less digits than its factorization.

31475433457413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23504 (or 23498 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 31475433457413 in words is "thirty-one trillion, four hundred seventy-five billion, four hundred thirty-three million, four hundred fifty-seven thousand, four hundred thirteen".