2031144100000 has 144 divisors (see below), whose sum is σ = 5120116400952. Its totient is φ = 792640000000.

The previous prime is 2031144099983. The next prime is 2031144100021. The reversal of 2031144100000 is 14411302.

It can be written as a sum of positive squares in 12 ways, for example, as 1764933506064 + 266210593936 = 1328508^2 + 515956^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3852300 + ... + 4347700.

Almost surely, 2^{2031144100000} is an apocalyptic number.

2031144100000 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 2031144100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560058200476).

2031144100000 is an abundant number, since it is smaller than the sum of its proper divisors (3088972300952).

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

2031144100000 is an frugal number, since it uses more digits than its factorization.

2031144100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495477 (or 495449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2031144100000 its reverse (14411302), we get a palindrome (2031158511302).

The spelling of 2031144100000 in words is "two trillion, thirty-one billion, one hundred forty-four million, one hundred thousand".