1314241450100 has 72 divisors (see below), whose sum is σ = 2868799306968. Its totient is φ = 522591232000.

The previous prime is 1314241450073. The next prime is 1314241450139. The reversal of 1314241450100 is 10541424131.

It can be written as a sum of positive squares in 12 ways, for example, as 29242368016 + 1284999082084 = 171004^2 + 1133578^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1314241450100.

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, 11693372 + ... + 11805228.

It is an arithmetic number, because the mean of its divisors is an integer number (39844434819).

Almost surely, 2^{1314241450100} is an apocalyptic number.

1314241450100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314241450100 is an abundant number, since it is smaller than the sum of its proper divisors (1554557856868).

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

1314241450100 is a wasteful number, since it uses less digits than its factorization.

1314241450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112565 (or 112558 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 1314241450100 its reverse (10541424131), we get a palindrome (1324782874231).

The spelling of 1314241450100 in words is "one trillion, three hundred fourteen billion, two hundred forty-one million, four hundred fifty thousand, one hundred".