1312121101 has 2 divisors, whose sum is σ = 1312121102. Its totient is φ = 1312121100.

The previous prime is 1312121071. The next prime is 1312121131. The reversal of 1312121101 is 1011212131.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1312121071) and next prime (1312121131).

It can be written as a sum of positive squares in only one way, i.e., 1264869225 + 47251876 = 35565^2 + 6874^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312121101 - 2¹³ = 1312112909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1312121131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656060550 + 656060551.

It is an arithmetic number, because the mean of its divisors is an integer number (656060551).

Almost surely, 2^1312121101 is an apocalyptic number.

It is an amenable number.

1312121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312121101 is an equidigital number, since it uses as much as digits as its factorization.

1312121101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1312121101 is about 36223.2121850065. The cubic root of 1312121101 is about 1094.7744163924.

Adding to 1312121101 its reverse (1011212131), we get a palindrome (2323333232).

The spelling of 1312121101 in words is "one billion, three hundred twelve million, one hundred twenty-one thousand, one hundred one".