213122356011144 has 96 divisors (see below), whose sum is σ = 583505990697240. Its totient is φ = 70266859776000.

The previous prime is 213122356011143. The next prime is 213122356011197. The reversal of 213122356011144 is 441110653221312.

213122356011144 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 2 + 3 + 5 + 601 + 1 + 1 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213096874274244 + 25481736900 = 14597838^2 + 159630^2 .

It is a super-2 number, since 2×213122356011144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213122356011099 and 213122356011108.

It is not an unprimeable number, because it can be changed into a prime (213122356011143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7447537 + ... + 21947904.

Almost surely, 2^{213122356011144} is an apocalyptic number.

213122356011144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213122356011144 is an abundant number, since it is smaller than the sum of its proper divisors (370383634686096).

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

213122356011144 is a wasteful number, since it uses less digits than its factorization.

213122356011144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29396551 (or 29396544 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 213122356011144 in words is "two hundred thirteen trillion, one hundred twenty-two billion, three hundred fifty-six million, eleven thousand, one hundred forty-four".