133415131024 has 240 divisors, whose sum is σ = 322558640640. Its totient is φ = 53201111040.

The previous prime is 133415131007. The next prime is 133415131039. The reversal of 133415131024 is 420131514331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 133415130983 and 133415131001.

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, 80032239 + ... + 80033905.

It is an arithmetic number, because the mean of its divisors is an integer number (1343994336).

Almost surely, 2^133415131024 is an apocalyptic number.

133415131024 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 133415131024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161279320320).

133415131024 is an abundant number, since it is smaller than the sum of its proper divisors (189143509616).

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

133415131024 is a wasteful number, since it uses less digits than its factorization.

133415131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 133415131024 its reverse (420131514331), we get a palindrome (553546645355).

The spelling of 133415131024 in words is "one hundred thirty-three billion, four hundred fifteen million, one hundred thirty-one thousand, twenty-four".