131010121214334 has 32 divisors (see below), whose sum is σ = 291135205493280. Its totient is φ = 43669799985600.

The previous prime is 131010121214309. The next prime is 131010121214359. The reversal of 131010121214334 is 433412121010131.

131010121214334 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 10 + 1 + 212 + 1 + 433 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (131010121214309) and next prime (131010121214359).

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

It is a junction number, because it is equal to n+sod(n) for n = 131010121214298 and 131010121214307.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3359554 + ... + 16531994.

It is an arithmetic number, because the mean of its divisors is an integer number (9097975171665).

Almost surely, 2^{131010121214334} is an apocalyptic number.

131010121214334 is an abundant number, since it is smaller than the sum of its proper divisors (160125084278946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131010121214334 is a wasteful number, since it uses less digits than its factorization.

131010121214334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13356633 (or 13356627 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131010121214334 its reverse (433412121010131), we get a palindrome (564422242224465).

The spelling of 131010121214334 in words is "one hundred thirty-one trillion, ten billion, one hundred twenty-one million, two hundred fourteen thousand, three hundred thirty-four".