31213000031213 has 144 divisors (see below), whose sum is σ = 45281021068800. Its totient is φ = 21268877797440.

The previous prime is 31213000031177. The next prime is 31213000031351.

31213000031213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31213000031213 - 2⁶ = 31213000031149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213000031713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 593613758 + ... + 593666336.

It is an arithmetic number, because the mean of its divisors is an integer number (314451535200).

Almost surely, 2^{31213000031213} is an apocalyptic number.

It is an amenable number.

31213000031213 is a deficient number, since it is larger than the sum of its proper divisors (14068021037587).

31213000031213 is an equidigital number, since it uses as much as digits as its factorization.

31213000031213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52670 (or 52629 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 312130000 and 31213, that multiplied together give a square (9742513690000 = 3121300²).

The spelling of 31213000031213 in words is "thirty-one trillion, two hundred thirteen billion, thirty-one thousand, two hundred thirteen".