213132013013300 has 36 divisors (see below), whose sum is σ = 471222816707916. Its totient is φ = 83644261708800.

The previous prime is 213132013013237. The next prime is 213132013013321. The reversal of 213132013013300 is 3310310231312.

213132013013300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 28195186687396 + 184936826325904 = 5309914^2 + 13599148^2 .

It is a super-2 number, since 2×213132013013300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 20106788381 + ... + 20106798980.

It is an arithmetic number, because the mean of its divisors is an integer number (13089522686331).

Almost surely, 2^{213132013013300} is an apocalyptic number.

213132013013300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132013013300 is an abundant number, since it is smaller than the sum of its proper divisors (258090803694616).

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

213132013013300 is a wasteful number, since it uses less digits than its factorization.

213132013013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40213587428 (or 40213587421 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 213132013013300 its reverse (3310310231312), we get a palindrome (216442323244612).

The spelling of 213132013013300 in words is "two hundred thirteen trillion, one hundred thirty-two billion, thirteen million, thirteen thousand, three hundred".