31404302444133 has 24 divisors (see below), whose sum is σ = 45650623887960. Its totient is φ = 20803078471680.

The previous prime is 31404302444113. The next prime is 31404302444153. The reversal of 31404302444133 is 33144420340413.

31404302444133 is a `hidden beast` number, since 3 + 1 + 40 + 43 + 0 + 2 + 444 + 133 = 666.

It is an interprime number because it is at equal distance from previous prime (31404302444113) and next prime (31404302444153).

It can be written as a sum of positive squares in 4 ways, for example, as 1214805161124 + 30189497283009 = 1102182^2 + 5494497^2 .

It is not a de Polignac number, because 31404302444133 - 2¹⁰ = 31404302443109 is a prime.

It is a super-2 number, since 2×31404302444133² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31404302444113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6136348 + ... + 10023141.

It is an arithmetic number, because the mean of its divisors is an integer number (1902109328665).

Almost surely, 2^{31404302444133} is an apocalyptic number.

It is an amenable number.

31404302444133 is a deficient number, since it is larger than the sum of its proper divisors (14246321443827).

31404302444133 is a wasteful number, since it uses less digits than its factorization.

31404302444133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16160869 (or 16160866 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 31404302444133 its reverse (33144420340413), we get a palindrome (64548722784546).

The spelling of 31404302444133 in words is "thirty-one trillion, four hundred four billion, three hundred two million, four hundred forty-four thousand, one hundred thirty-three".