1311002101 has 24 divisors (see below), whose sum is σ = 1405187784. Its totient is φ = 1222287360.

The previous prime is 1311002089. The next prime is 1311002153. The reversal of 1311002101 is 1012001131.

It can be written as a sum of positive squares in 12 ways, for example, as 262926225 + 1048075876 = 16215^2 + 32374^2 .

It is not a de Polignac number, because 1311002101 - 2⁹ = 1311001589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311002191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6654735 + ... + 6654931.

It is an arithmetic number, because the mean of its divisors is an integer number (58549491).

Almost surely, 2^1311002101 is an apocalyptic number.

It is an amenable number.

1311002101 is a deficient number, since it is larger than the sum of its proper divisors (94185683).

1311002101 is a wasteful number, since it uses less digits than its factorization.

1311002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1311002101 is about 36207.7629935902. The cubic root of 1311002101 is about 1094.4631135751.

Adding to 1311002101 its reverse (1012001131), we get a palindrome (2323003232).

The spelling of 1311002101 in words is "one billion, three hundred eleven million, two thousand, one hundred one".