131413233130410 has 128 divisors (see below), whose sum is σ = 394128036569088. Its totient is φ = 27243289152000.

The previous prime is 131413233130409. The next prime is 131413233130433. The reversal of 131413233130410 is 14031332314131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 65000731 + ... + 66991950.

It is an arithmetic number, because the mean of its divisors is an integer number (3079125285696).

Almost surely, 2^{131413233130410} is an apocalyptic number.

131413233130410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131413233130410 is an abundant number, since it is smaller than the sum of its proper divisors (262714803438678).

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

131413233130410 is a wasteful number, since it uses less digits than its factorization.

131413233130410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131993140.

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 131413233130410 its reverse (14031332314131), we get a palindrome (145444565444541).

The spelling of 131413233130410 in words is "one hundred thirty-one trillion, four hundred thirteen billion, two hundred thirty-three million, one hundred thirty thousand, four hundred ten".