31402311320413 has 6 divisors (see below), whose sum is σ = 34516590129182. Its totient is φ = 28547555745720.

The previous prime is 31402311320377. The next prime is 31402311320417.

31402311320413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 31046883112729 + 355428207684 = 5571973^2 + 596178^2 .

It is a de Polignac number, because none of the positive numbers 2^k-31402311320413 is a prime.

It is a super-3 number, since 3×31402311320413³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31402311320417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129761616906 + ... + 129761617147.

Almost surely, 2^{31402311320413} is an apocalyptic number.

It is an amenable number.

31402311320413 is a deficient number, since it is larger than the sum of its proper divisors (3114278808769).

31402311320413 is a wasteful number, since it uses less digits than its factorization.

31402311320413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259523234075 (or 259523234064 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 3140231 and 1320413, that added together give a palindrome (4460644).

The spelling of 31402311320413 in words is "thirty-one trillion, four hundred two billion, three hundred eleven million, three hundred twenty thousand, four hundred thirteen".