100000311010000 has 100 divisors (see below), whose sum is σ = 242116486126900. Its totient is φ = 39999177216000.

The previous prime is 100000311009941. The next prime is 100000311010001. The reversal of 100000311010000 is 10113000001.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 51307938657936 + 48692372352064 = 7162956^2 + 6977992^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000311010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 549999106 + ... + 550180894.

It is an arithmetic number, because the mean of its divisors is an integer number (2421164861269).

Almost surely, 2^{100000311010000} is an apocalyptic number.

100000311010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000311010000 is an abundant number, since it is smaller than the sum of its proper divisors (142116175116900).

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

100000311010000 is an equidigital number, since it uses as much as digits as its factorization.

100000311010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236826 (or 236805 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 100000311010000 its reverse (10113000001), we get a palindrome (100010424010001).

The spelling of 100000311010000 in words is "one hundred trillion, three hundred eleven million, ten thousand".