100133000313210 has 160 divisors (see below), whose sum is σ = 281030618499840. Its totient is φ = 25534104152832.

The previous prime is 100133000313193. The next prime is 100133000313211. The reversal of 100133000313210 is 12313000331001.

It is a happy number.

100133000313210 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 330 + 0 + 0 + 313 + 21 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100133000313211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66754726 + ... + 68238254.

It is an arithmetic number, because the mean of its divisors is an integer number (1756441365624).

Almost surely, 2^{100133000313210} is an apocalyptic number.

100133000313210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100133000313210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140515309249920).

100133000313210 is an abundant number, since it is smaller than the sum of its proper divisors (180897618186630).

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

100133000313210 is a wasteful number, since it uses less digits than its factorization.

100133000313210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487194 (or 1487185 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100133000313210 its reverse (12313000331001), we get a palindrome (112446000644211).

The spelling of 100133000313210 in words is "one hundred trillion, one hundred thirty-three billion, three hundred thirteen thousand, two hundred ten".