2413133314000 has 80 divisors (see below), whose sum is σ = 5959104592896. Its totient is φ = 944715984000.

The previous prime is 2413133313931. The next prime is 2413133314001. The reversal of 2413133314000 is 4133313142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2413133314000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413133314001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12741816 + ... + 12929815.

Almost surely, 2^{2413133314000} is an apocalyptic number.

2413133314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413133314000 is an abundant number, since it is smaller than the sum of its proper divisors (3545971278896).

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

2413133314000 is a wasteful number, since it uses less digits than its factorization.

2413133314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25671701 (or 25671685 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2413133314000 its reverse (4133313142), we get a palindrome (2417266627142).

The spelling of 2413133314000 in words is "two trillion, four hundred thirteen billion, one hundred thirty-three million, three hundred fourteen thousand".