100311133001000 has 128 divisors (see below), whose sum is σ = 235588333088160. Its totient is φ = 39977426944000.

The previous prime is 100311133000901. The next prime is 100311133001039. The reversal of 100311133001000 is 100331113001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 107069001796 + 100204063999204 = 327214^2 + 10010198^2 .

It is a super-2 number, since 2×100311133001000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5130207224 + ... + 5130226776.

Almost surely, 2^{100311133001000} is an apocalyptic number.

100311133001000 is a gapful number since it is divisible by the number (10) 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 100311133001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117794166544080).

100311133001000 is an abundant number, since it is smaller than the sum of its proper divisors (135277200087160).

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

100311133001000 is a wasteful number, since it uses less digits than its factorization.

100311133001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38112 (or 38098 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100311133001000 its reverse (100331113001), we get a palindrome (100411464114001).

The spelling of 100311133001000 in words is "one hundred trillion, three hundred eleven billion, one hundred thirty-three million, one thousand".