213132777 has 16 divisors (see below), whose sum is σ = 333859008. Its totient is φ = 119234880.

The previous prime is 213132761. The next prime is 213132793. The reversal of 213132777 is 777231312.

213132777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213132761) and next prime (213132793).

It is not a de Polignac number, because 213132777 - 2⁴ = 213132761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (213132727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247978 + ... + 248835.

It is an arithmetic number, because the mean of its divisors is an integer number (20866188).

Almost surely, 2^213132777 is an apocalyptic number.

It is an amenable number.

213132777 is a deficient number, since it is larger than the sum of its proper divisors (120726231).

213132777 is a wasteful number, since it uses less digits than its factorization.

213132777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496840.

The product of its digits is 12348, while the sum is 33.

The square root of 213132777 is about 14599.0676757114. The cubic root of 213132777 is about 597.3333295619. Note that the first 4 decimals are identical.

It can be divided in two parts, 21313 and 2777, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 213132777 in words is "two hundred thirteen million, one hundred thirty-two thousand, seven hundred seventy-seven".