201403400331 has 96 divisors (see below), whose sum is σ = 338102784000. Its totient is φ = 104320677888.

The previous prime is 201403400327. The next prime is 201403400351. The reversal of 201403400331 is 133004304102.

It is not a de Polignac number, because 201403400331 - 2² = 201403400327 is a prime.

It is a super-2 number, since 2×201403400331² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 201403400298 and 201403400307.

It is not an unprimeable number, because it can be changed into a prime (201403400351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84303285 + ... + 84305673.

It is an arithmetic number, because the mean of its divisors is an integer number (3521904000).

Almost surely, 2^201403400331 is an apocalyptic number.

201403400331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201403400331 is a deficient number, since it is larger than the sum of its proper divisors (136699383669).

201403400331 is a wasteful number, since it uses less digits than its factorization.

201403400331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 201403400331 its reverse (133004304102), we get a palindrome (334407704433).

The spelling of 201403400331 in words is "two hundred one billion, four hundred three million, four hundred thousand, three hundred thirty-one".