413402333311331 has 32 divisors (see below), whose sum is σ = 542221006860288. Its totient is φ = 306209630960640.

The previous prime is 413402333311277. The next prime is 413402333311339. The reversal of 413402333311331 is 133113333204314.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-413402333311331 is a prime.

It is a super-2 number, since 2×413402333311331² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413402333311291 and 413402333311300.

It is not an unprimeable number, because it can be changed into a prime (413402333311339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2101142510 + ... + 2101339251.

It is an arithmetic number, because the mean of its divisors is an integer number (16944406464384).

Almost surely, 2^{413402333311331} is an apocalyptic number.

413402333311331 is a deficient number, since it is larger than the sum of its proper divisors (128818673548957).

413402333311331 is a wasteful number, since it uses less digits than its factorization.

413402333311331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202481851.

The product of its (nonzero) digits is 69984, while the sum is 35.

Adding to 413402333311331 its reverse (133113333204314), we get a palindrome (546515666515645).

The spelling of 413402333311331 in words is "four hundred thirteen trillion, four hundred two billion, three hundred thirty-three million, three hundred eleven thousand, three hundred thirty-one".