100330331133213 has 40 divisors (see below), whose sum is σ = 152849603907000. Its totient is φ = 65562308278272.

The previous prime is 100330331133211. The next prime is 100330331133223. The reversal of 100330331133213 is 312331133033001.

100330331133213 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 0 + 3 + 311 + 332 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21166284066489 + 79164047066724 = 4600683^2 + 8897418^2 .

It is not a de Polignac number, because 100330331133213 - 2¹ = 100330331133211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330331133211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6636148 + ... + 15642861.

It is an arithmetic number, because the mean of its divisors is an integer number (3821240097675).

Almost surely, 2^{100330331133213} is an apocalyptic number.

It is an amenable number.

100330331133213 is a deficient number, since it is larger than the sum of its proper divisors (52519272773787).

100330331133213 is a wasteful number, since it uses less digits than its factorization.

100330331133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22280123 (or 22280114 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 100330331133213 its reverse (312331133033001), we get a palindrome (412661464166214).

The spelling of 100330331133213 in words is "one hundred trillion, three hundred thirty billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred thirteen".