31123211001101 has 2 divisors, whose sum is σ = 31123211001102. Its totient is φ = 31123211001100.

The previous prime is 31123211001083. The next prime is 31123211001107. The reversal of 31123211001101 is 10110011232113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31053580985476 + 69630015625 = 5572574^2 + 263875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31123211001101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31123211001101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31123211001107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561605500550 + 15561605500551.

It is an arithmetic number, because the mean of its divisors is an integer number (15561605500551).

Almost surely, 2^{31123211001101} is an apocalyptic number.

It is an amenable number.

31123211001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31123211001101 is an equidigital number, since it uses as much as digits as its factorization.

31123211001101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 31123211001101 its reverse (10110011232113), we get a palindrome (41233222233214).

The spelling of 31123211001101 in words is "thirty-one trillion, one hundred twenty-three billion, two hundred eleven million, one thousand, one hundred one".