2131212001000 has 128 divisors (see below), whose sum is σ = 5160570199200. Its totient is φ = 822838732800.

The previous prime is 2131212000989. The next prime is 2131212001103. The reversal of 2131212001000 is 1002121312.

It can be written as a sum of positive squares in 16 ways, for example, as 46601583876 + 2084610417124 = 215874^2 + 1443818^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116367844 + ... + 116386156.

Almost surely, 2^{2131212001000} is an apocalyptic number.

2131212001000 is a gapful number since it is divisible by the number (20) 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 2131212001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580285099600).

2131212001000 is an abundant number, since it is smaller than the sum of its proper divisors (3029358198200).

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

2131212001000 is a wasteful number, since it uses less digits than its factorization.

2131212001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22376 (or 22362 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2131212001000 its reverse (1002121312), we get a palindrome (2132214122312).

The spelling of 2131212001000 in words is "two trillion, one hundred thirty-one billion, two hundred twelve million, one thousand".