133058106100 has 36 divisors (see below), whose sum is σ = 291980335500. Its totient is φ = 52625224960.

The previous prime is 133058106079. The next prime is 133058106107. The reversal of 133058106100 is 1601850331.

It can be written as a sum of positive squares in 6 ways, for example, as 8989315344 + 124068790756 = 94812^2 + 352234^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133058106107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7466275 + ... + 7484074.

It is an arithmetic number, because the mean of its divisors is an integer number (8110564875).

Almost surely, 2^133058106100 is an apocalyptic number.

133058106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133058106100 is an abundant number, since it is smaller than the sum of its proper divisors (158922229400).

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

133058106100 is a wasteful number, since it uses less digits than its factorization.

133058106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14950452 (or 14950445 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 133058106100 its reverse (1601850331), we get a palindrome (134659956431).

The spelling of 133058106100 in words is "one hundred thirty-three billion, fifty-eight million, one hundred six thousand, one hundred".