10402033401331 has 48 divisors (see below), whose sum is σ = 12941802397440. Its totient is φ = 8271422290560.

The previous prime is 10402033401323. The next prime is 10402033401349. The reversal of 10402033401331 is 13310433020401.

It is not a de Polignac number, because 10402033401331 - 2³ = 10402033401323 is a prime.

It is a super-2 number, since 2×10402033401331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10402033401296 and 10402033401305.

It is not an unprimeable number, because it can be changed into a prime (10402033401311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3438165 + ... + 5711833.

It is an arithmetic number, because the mean of its divisors is an integer number (269620883280).

Almost surely, 2^{10402033401331} is an apocalyptic number.

10402033401331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10402033401331 is a deficient number, since it is larger than the sum of its proper divisors (2539768996109).

10402033401331 is a wasteful number, since it uses less digits than its factorization.

10402033401331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273836 (or 2273823 counting only the distinct ones).

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

Adding to 10402033401331 its reverse (13310433020401), we get a palindrome (23712466421732).

The spelling of 10402033401331 in words is "ten trillion, four hundred two billion, thirty-three million, four hundred one thousand, three hundred thirty-one".