213301225114000 has 80 divisors (see below), whose sum is σ = 515781427380336. Its totient is φ = 85317336192000.

The previous prime is 213301225113973. The next prime is 213301225114049. The reversal of 213301225114000 is 411522103312.

It can be written as a sum of positive squares in 8 ways, for example, as 48197639772304 + 165103585341696 = 6942452^2 + 12849264^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52524462 + ... + 56439538.

Almost surely, 2^{213301225114000} is an apocalyptic number.

213301225114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213301225114000 is an abundant number, since it is smaller than the sum of its proper divisors (302480202266336).

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

213301225114000 is a wasteful number, since it uses less digits than its factorization.

213301225114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942341 (or 3942325 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 213301225114000 its reverse (411522103312), we get a palindrome (213712747217312).

The spelling of 213301225114000 in words is "two hundred thirteen trillion, three hundred one billion, two hundred twenty-five million, one hundred fourteen thousand".