133131122124 has 144 divisors (see below), whose sum is σ = 424530279936. Its totient is φ = 31919529600.

The previous prime is 133131122107. The next prime is 133131122147. The reversal of 133131122124 is 421221131331.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133131122094 and 133131122103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707572 + ... + 875739.

It is an arithmetic number, because the mean of its divisors is an integer number (2948126944).

Almost surely, 2^133131122124 is an apocalyptic number.

133131122124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133131122124 is an abundant number, since it is smaller than the sum of its proper divisors (291399157812).

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

133131122124 is a wasteful number, since it uses less digits than its factorization.

133131122124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583356 (or 1583347 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 133131122124 its reverse (421221131331), we get a palindrome (554352253455).

It can be divided in two parts, 133131 and 122124, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 133131122124 in words is "one hundred thirty-three billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred twenty-four".