310131131133213 has 16 divisors (see below), whose sum is σ = 494796106651840. Its totient is φ = 190849926850992.

The previous prime is 310131131133199. The next prime is 310131131133251. The reversal of 310131131133213 is 312331131131013.

310131131133213 is a `hidden beast` number, since 3 + 1 + 0 + 1 + 3 + 1 + 1 + 311 + 332 + 13 = 666.

It is not a de Polignac number, because 310131131133213 - 2¹⁶ = 310131131067677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310131131133253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441782237731 + ... + 441782238432.

It is an arithmetic number, because the mean of its divisors is an integer number (30924756665740).

Almost surely, 2^{310131131133213} is an apocalyptic number.

It is an amenable number.

310131131133213 is a deficient number, since it is larger than the sum of its proper divisors (184664975518627).

310131131133213 is a wasteful number, since it uses less digits than its factorization.

310131131133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883564476185 (or 883564476179 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 310131131133213 its reverse (312331131131013), we get a palindrome (622462262264226).

The spelling of 310131131133213 in words is "three hundred ten trillion, one hundred thirty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred thirteen".