131133030102000 has 120 divisors (see below), whose sum is σ = 458003963199120. Its totient is φ = 34968808022400.

The previous prime is 131133030101929. The next prime is 131133030102007. The reversal of 131133030102000 is 201030331131.

It is a happy number.

131133030102000 is a `hidden beast` number, since 1 + 3 + 11 + 330 + 301 + 0 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133030102007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3642566170 + ... + 3642602169.

It is an arithmetic number, because the mean of its divisors is an integer number (3816699693326).

Almost surely, 2^{131133030102000} is an apocalyptic number.

131133030102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131133030102000 is an abundant number, since it is smaller than the sum of its proper divisors (326870933097120).

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

131133030102000 is a wasteful number, since it uses less digits than its factorization.

131133030102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285168368 (or 7285168349 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131133030102000 its reverse (201030331131), we get a palindrome (131334060433131).

The spelling of 131133030102000 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, thirty million, one hundred two thousand".