31132213002133 has 2 divisors, whose sum is σ = 31132213002134. Its totient is φ = 31132213002132.

The previous prime is 31132213002127. The next prime is 31132213002181. The reversal of 31132213002133 is 33120031223113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30256083305809 + 876129696324 = 5500553^2 + 936018^2 .

It is a cyclic number.

It is not a de Polignac number, because 31132213002133 - 2¹³ = 31132212993941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31132213002098 and 31132213002107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31132211002133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566106501066 + 15566106501067.

It is an arithmetic number, because the mean of its divisors is an integer number (15566106501067).

Almost surely, 2^{31132213002133} is an apocalyptic number.

It is an amenable number.

31132213002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31132213002133 is an equidigital number, since it uses as much as digits as its factorization.

31132213002133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 31132213002133 its reverse (33120031223113), we get a palindrome (64252244225246).

The spelling of 31132213002133 in words is "thirty-one trillion, one hundred thirty-two billion, two hundred thirteen million, two thousand, one hundred thirty-three".