131011013212224 has 56 divisors (see below), whose sum is σ = 346636128964608. Its totient is φ = 43669982062080.

The previous prime is 131011013212153. The next prime is 131011013212259. The reversal of 131011013212224 is 422212310110131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131011013212194 and 131011013212203.

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 7 ways as a sum of consecutive naturals, for example, 21403329 + ... + 26835135.

It is an arithmetic number, because the mean of its divisors is an integer number (6189930874368).

Almost surely, 2^{131011013212224} is an apocalyptic number.

It is an amenable number.

131011013212224 is an abundant number, since it is smaller than the sum of its proper divisors (215625115752384).

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

131011013212224 is a wasteful number, since it uses less digits than its factorization.

131011013212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557443 (or 5557433 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131011013212224 its reverse (422212310110131), we get a palindrome (553223323322355).

The spelling of 131011013212224 in words is "one hundred thirty-one trillion, eleven billion, thirteen million, two hundred twelve thousand, two hundred twenty-four".