1311402100 has 72 divisors (see below), whose sum is σ = 3094723800. Its totient is φ = 480337920.

The previous prime is 1311402091. The next prime is 1311402119. The reversal of 1311402100 is 12041131.

It can be written as a sum of positive squares in 12 ways, for example, as 11655396 + 1299746704 = 3414^2 + 36052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52476 + ... + 73324.

It is an arithmetic number, because the mean of its divisors is an integer number (42982275).

Almost surely, 2^1311402100 is an apocalyptic number.

1311402100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547361900).

1311402100 is an abundant number, since it is smaller than the sum of its proper divisors (1783321700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311402100 is a wasteful number, since it uses less digits than its factorization.

1311402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20917 (or 20910 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1311402100 is about 36213.2862358555. The cubic root of 1311402100 is about 1094.5744125665.

Adding to 1311402100 its reverse (12041131), we get a palindrome (1323443231).

The spelling of 1311402100 in words is "one billion, three hundred eleven million, four hundred two thousand, one hundred".