100319731201 has 8 divisors (see below), whose sum is σ = 103266299304. Its totient is φ = 97412190720.

The previous prime is 100319731159. The next prime is 100319731217. The reversal of 100319731201 is 102137913001.

It can be written as a sum of positive squares in 4 ways, for example, as 21956126976 + 78363604225 = 148176^2 + 279935^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100319731201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100319731201.

It is not an unprimeable number, because it can be changed into a prime (100319731261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9751690 + ... + 9761971.

It is an arithmetic number, because the mean of its divisors is an integer number (12908287413).

Almost surely, 2^100319731201 is an apocalyptic number.

It is an amenable number.

100319731201 is a deficient number, since it is larger than the sum of its proper divisors (2946568103).

100319731201 is an equidigital number, since it uses as much as digits as its factorization.

100319731201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19513811.

The product of its (nonzero) digits is 1134, while the sum is 28.

The spelling of 100319731201 in words is "one hundred billion, three hundred nineteen million, seven hundred thirty-one thousand, two hundred one".