133034043300400 has 480 divisors, whose sum is σ = 358705879354368. Its totient is φ = 47006571110400.

The previous prime is 133034043300397. The next prime is 133034043300479. The reversal of 133034043300400 is 4003340430331.

It is a happy number.

It is a super-3 number, since 3×133034043300400³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9784066402 + ... + 9784079998.

Almost surely, 2^{133034043300400} is an apocalyptic number.

133034043300400 is a gapful number since it is divisible by the number (10) 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 133034043300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179352939677184).

133034043300400 is an abundant number, since it is smaller than the sum of its proper divisors (225671836053968).

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

133034043300400 is a wasteful number, since it uses less digits than its factorization.

133034043300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14149 (or 14138 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 133034043300400 its reverse (4003340430331), we get a palindrome (137037383730731).

The spelling of 133034043300400 in words is "one hundred thirty-three trillion, thirty-four billion, forty-three million, three hundred thousand, four hundred".