131413130033213 has 16 divisors (see below), whose sum is σ = 153861354304896. Its totient is φ = 109884058479360.

The previous prime is 131413130033189. The next prime is 131413130033221. The reversal of 131413130033213 is 312330031314131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131413130033213 - 2²⁰ = 131413128984637 is a prime.

It is a super-2 number, since 2×131413130033213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413130036213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13875056 + ... + 21338777.

It is an arithmetic number, because the mean of its divisors is an integer number (9616334644056).

Almost surely, 2^{131413130033213} is an apocalyptic number.

It is an amenable number.

131413130033213 is a deficient number, since it is larger than the sum of its proper divisors (22448224271683).

131413130033213 is a wasteful number, since it uses less digits than its factorization.

131413130033213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35226884.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 131413130033213 its reverse (312330031314131), we get a palindrome (443743161347344).

The spelling of 131413130033213 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred thirty million, thirty-three thousand, two hundred thirteen".