133401340002072 has 128 divisors (see below), whose sum is σ = 346941044049600. Its totient is φ = 42692686848000.

The previous prime is 133401340002031. The next prime is 133401340002113. The reversal of 133401340002072 is 270200043104331.

It is an interprime number because it is at equal distance from previous prime (133401340002031) and next prime (133401340002113).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1599475572 + ... + 1599558972.

Almost surely, 2^{133401340002072} is an apocalyptic number.

133401340002072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133401340002072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173470522024800).

133401340002072 is an abundant number, since it is smaller than the sum of its proper divisors (213539704047528).

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

133401340002072 is a wasteful number, since it uses less digits than its factorization.

133401340002072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96317 (or 96313 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 133401340002072 in words is "one hundred thirty-three trillion, four hundred one billion, three hundred forty million, two thousand, seventy-two".