133011434311300 has 36 divisors (see below), whose sum is σ = 288635364474660. Its totient is φ = 53204471969920.

The previous prime is 133011434311241. The next prime is 133011434311451. The reversal of 133011434311300 is 3113434110331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5404896324 + 133006029414976 = 73518^2 + 11532824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72651546 + ... + 74459854.

It is an arithmetic number, because the mean of its divisors is an integer number (8017649013185).

Almost surely, 2^{133011434311300} is an apocalyptic number.

133011434311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133011434311300 is an abundant number, since it is smaller than the sum of its proper divisors (155623930163360).

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

133011434311300 is a wasteful number, since it uses less digits than its factorization.

133011434311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543880 (or 2543873 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 133011434311300 its reverse (3113434110331), we get a palindrome (136124868421631).

The spelling of 133011434311300 in words is "one hundred thirty-three trillion, eleven billion, four hundred thirty-four million, three hundred eleven thousand, three hundred".