133301201114004 has 216 divisors, whose sum is σ = 397777387238784. Its totient is φ = 34616975500800.

The previous prime is 133301201113973. The next prime is 133301201114023. The reversal of 133301201114004 is 400411102103331.

It is a happy number.

It is a super-2 number, since 2×133301201114004² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 372138469 + ... + 372496499.

Almost surely, 2^{133301201114004} is an apocalyptic number.

133301201114004 is a gapful number since it is divisible by the number (14) 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 133301201114004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198888693619392).

133301201114004 is an abundant number, since it is smaller than the sum of its proper divisors (264476186124780).

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

133301201114004 is a wasteful number, since it uses less digits than its factorization.

133301201114004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363307 (or 363287 counting only the distinct ones).

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

Adding to 133301201114004 its reverse (400411102103331), we get a palindrome (533712303217335).

The spelling of 133301201114004 in words is "one hundred thirty-three trillion, three hundred one billion, two hundred one million, one hundred fourteen thousand, four".