133101026346672 has 30 divisors (see below), whose sum is σ = 372498011234492. Its totient is φ = 44367008782176.

The previous prime is 133101026346667. The next prime is 133101026346677. The reversal of 133101026346672 is 276643620101331.

133101026346672 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 1 + 0 + 2 + 634 + 6 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133101026346667) and next prime (133101026346677).

It is a super-2 number, since 2×133101026346672² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133101026346677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 462156341338 + ... + 462156341625.

Almost surely, 2^{133101026346672} is an apocalyptic number.

133101026346672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133101026346672 is an abundant number, since it is smaller than the sum of its proper divisors (239396984887820).

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

133101026346672 is a wasteful number, since it uses less digits than its factorization.

133101026346672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924312682977 (or 924312682968 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 133101026346672 in words is "one hundred thirty-three trillion, one hundred one billion, twenty-six million, three hundred forty-six thousand, six hundred seventy-two".