2031121131984 has 160 divisors (see below), whose sum is σ = 6663822416640. Its totient is φ = 580243212288.

The previous prime is 2031121131947. The next prime is 2031121132021. The reversal of 2031121131984 is 4891311211302.

It is a happy number.

2031121131984 is a `hidden beast` number, since 2 + 0 + 311 + 21 + 1 + 319 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2031121131947) and next prime (2031121132021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 25049652 + ... + 25130604.

It is an arithmetic number, because the mean of its divisors is an integer number (41648890104).

Almost surely, 2^{2031121131984} is an apocalyptic number.

2031121131984 is a gapful number since it is divisible by the number (24) 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 2031121131984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331911208320).

2031121131984 is an abundant number, since it is smaller than the sum of its proper divisors (4632701284656).

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

2031121131984 is a wasteful number, since it uses less digits than its factorization.

2031121131984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89274 (or 89262 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 2031121131984 in words is "two trillion, thirty-one billion, one hundred twenty-one million, one hundred thirty-one thousand, nine hundred eighty-four".