1318156572100 has 243 divisors, whose sum is σ = 3073385935893. Its totient is φ = 490693029120.

The previous prime is 1318156572049. The next prime is 1318156572101. The reversal of 1318156572100 is 12756518131.

The square root of 1318156572100 is 1148110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 247130282884 + 1071026289216 = 497122^2 + 1034904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1318156572101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12319220247 + ... + 12319220353.

Almost surely, 2^{1318156572100} is an apocalyptic number.

1318156572100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1318156572100 is the 1148110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1318156572100

1318156572100 is an abundant number, since it is smaller than the sum of its proper divisors (1755229363793).

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

1318156572100 is a wasteful number, since it uses less digits than its factorization.

1318156572100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 1318156572100 in words is "one trillion, three hundred eighteen billion, one hundred fifty-six million, five hundred seventy-two thousand, one hundred".