31213423131001 has 2 divisors, whose sum is σ = 31213423131002. Its totient is φ = 31213423131000.

The previous prime is 31213423130963. The next prime is 31213423131017. The reversal of 31213423131001 is 10013132431213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31162921805376 + 50501325625 = 5582376^2 + 224725^2 .

It is an emirp because it is prime and its reverse (10013132431213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31213423131001 - 2³⁷ = 31075984177529 is a prime.

It is not a weakly prime, because it can be changed into another prime (31213423131101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15606711565500 + 15606711565501.

It is an arithmetic number, because the mean of its divisors is an integer number (15606711565501).

Almost surely, 2^{31213423131001} is an apocalyptic number.

It is an amenable number.

31213423131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31213423131001 is an equidigital number, since it uses as much as digits as its factorization.

31213423131001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 31213423131001 its reverse (10013132431213), we get a palindrome (41226555562214).

The spelling of 31213423131001 in words is "thirty-one trillion, two hundred thirteen billion, four hundred twenty-three million, one hundred thirty-one thousand, one".