2131012101312 has 168 divisors, whose sum is σ = 6431214528960. Its totient is φ = 672786777600.

The previous prime is 2131012101287. The next prime is 2131012101313.

2131012101312 is a `hidden beast` number, since 21 + 310 + 1 + 21 + 0 + 1 + 312 = 666.

2131012101312 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (2131012101313) 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, 49478187 + ... + 49521237.

Almost surely, 2^{2131012101312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131012101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215607264480).

2131012101312 is an abundant number, since it is smaller than the sum of its proper divisors (4300202427648).

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

2131012101312 is a wasteful number, since it uses less digits than its factorization.

2131012101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47611 (or 47598 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 2131012101312 in words is "two trillion, one hundred thirty-one billion, twelve million, one hundred one thousand, three hundred twelve".