131223401300133 has 64 divisors (see below), whose sum is σ = 197756697845760. Its totient is φ = 85991006808000.

The previous prime is 131223401300119. The next prime is 131223401300141. The reversal of 131223401300133 is 331003104322131.

131223401300133 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 340 + 1 + 300 + 13 + 3 = 666.

It is not a de Polignac number, because 131223401300133 - 2⁸ = 131223401299877 is a prime.

It is a super-2 number, since 2×131223401300133² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131223401300097 and 131223401300106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151223401300133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148381860 + ... + 149263602.

It is an arithmetic number, because the mean of its divisors is an integer number (3089948403840).

Almost surely, 2^{131223401300133} is an apocalyptic number.

It is an amenable number.

131223401300133 is a deficient number, since it is larger than the sum of its proper divisors (66533296545627).

131223401300133 is a wasteful number, since it uses less digits than its factorization.

131223401300133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882287 (or 882281 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131223401300133 its reverse (331003104322131), we get a palindrome (462226505622264).

The spelling of 131223401300133 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, four hundred one million, three hundred thousand, one hundred thirty-three".