100031353450144 has 96 divisors (see below), whose sum is σ = 201790628282880. Its totient is φ = 48790009110528.

The previous prime is 100031353450069. The next prime is 100031353450153. The reversal of 100031353450144 is 441054353130001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5019880309 + ... + 5019900235.

It is an arithmetic number, because the mean of its divisors is an integer number (2101985711280).

Almost surely, 2^{100031353450144} 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 100031353450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100895314141440).

100031353450144 is an abundant number, since it is smaller than the sum of its proper divisors (101759274832736).

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

100031353450144 is a wasteful number, since it uses less digits than its factorization.

100031353450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30830 (or 30822 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 100031353450144 in words is "one hundred trillion, thirty-one billion, three hundred fifty-three million, four hundred fifty thousand, one hundred forty-four".