1335131305000 has 40 divisors (see below), whose sum is σ = 3128212659330. Its totient is φ = 534052520000.

The previous prime is 1335131304973. The next prime is 1335131305033. The reversal of 1335131305000 is 5031315331.

It can be written as a sum of positive squares in 5 ways, for example, as 56255301124 + 1278876003876 = 237182^2 + 1130874^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 133508131 + ... + 133518130.

Almost surely, 2^{1335131305000} is an apocalyptic number.

1335131305000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1335131305000 is an abundant number, since it is smaller than the sum of its proper divisors (1793081354330).

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

1335131305000 is an equidigital number, since it uses as much as digits as its factorization.

1335131305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267026287 (or 267026268 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 25.

The spelling of 1335131305000 in words is "one trillion, three hundred thirty-five billion, one hundred thirty-one million, three hundred five thousand".