131012201234000 has 80 divisors (see below), whose sum is σ = 318112974466560. Its totient is φ = 52185613020800.

The previous prime is 131012201233999. The next prime is 131012201234069. The reversal of 131012201234000 is 432102210131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131012201234000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136564052 + ... + 137520051.

It is an arithmetic number, because the mean of its divisors is an integer number (3976412180832).

Almost surely, 2^{131012201234000} is an apocalyptic number.

131012201234000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012201234000 is an abundant number, since it is smaller than the sum of its proper divisors (187100773232560).

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

131012201234000 is a wasteful number, since it uses less digits than its factorization.

131012201234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274084365 (or 274084349 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131012201234000 its reverse (432102210131), we get a palindrome (131444303444131).

The spelling of 131012201234000 in words is "one hundred thirty-one trillion, twelve billion, two hundred one million, two hundred thirty-four thousand".