151313161313151 has 96 divisors (see below), whose sum is σ = 234988984751040. Its totient is φ = 93541884936192.

The previous prime is 151313161313143. The next prime is 151313161313173.

It is a happy number.

151313161313151 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 1 + 3 + 1 + 613 + 1 + 31 + 5 + 1 = 666.

151313161313151 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 151313161313151 - 2³ = 151313161313143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151313161313651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6999719095 + ... + 6999740711.

It is an arithmetic number, because the mean of its divisors is an integer number (2447801924490).

Almost surely, 2^{151313161313151} is an apocalyptic number.

151313161313151 is a deficient number, since it is larger than the sum of its proper divisors (83675823437889).

151313161313151 is a wasteful number, since it uses less digits than its factorization.

151313161313151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25945 (or 25942 counting only the distinct ones).

The product of its digits is 12150, while the sum is 36.

The spelling of 151313161313151 in words is "one hundred fifty-one trillion, three hundred thirteen billion, one hundred sixty-one million, three hundred thirteen thousand, one hundred fifty-one".