2412334003131 has 72 divisors (see below), whose sum is σ = 3818479991040. Its totient is φ = 1466739772992.

The previous prime is 2412334003129. The next prime is 2412334003133. The reversal of 2412334003131 is 1313004332142.

It is a happy number.

2412334003131 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 3 + 340 + 0 + 313 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2412334003129) and next prime (2412334003133).

It is not a de Polignac number, because 2412334003131 - 2¹ = 2412334003129 is a prime.

It is a super-2 number, since 2×2412334003131² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2412334003095 and 2412334003104.

It is not an unprimeable number, because it can be changed into a prime (2412334003133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69384330 + ... + 69419088.

It is an arithmetic number, because the mean of its divisors is an integer number (53034444320).

Almost surely, 2^{2412334003131} is an apocalyptic number.

2412334003131 is a deficient number, since it is larger than the sum of its proper divisors (1406145987909).

2412334003131 is a wasteful number, since it uses less digits than its factorization.

2412334003131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35337 (or 35321 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2412334003131 its reverse (1313004332142), we get a palindrome (3725338335273).

The spelling of 2412334003131 in words is "two trillion, four hundred twelve billion, three hundred thirty-four million, three thousand, one hundred thirty-one".