2131152511312 has 120 divisors (see below), whose sum is σ = 4778755563680. Its totient is φ = 917476243200.

The previous prime is 2131152511283. The next prime is 2131152511349.

It is a happy number.

2131152511312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2131152511312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234419887 + ... + 234428977.

Almost surely, 2^{2131152511312} is an apocalyptic number.

2131152511312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131152511312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389377781840).

2131152511312 is an abundant number, since it is smaller than the sum of its proper divisors (2647603052368).

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

2131152511312 is a wasteful number, since it uses less digits than its factorization.

2131152511312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15513 (or 15496 counting only the distinct ones).

The product of its digits is 1800, while the sum is 28.

The spelling of 2131152511312 in words is "two trillion, one hundred thirty-one billion, one hundred fifty-two million, five hundred eleven thousand, three hundred twelve".