1302771132100 has 81 divisors (see below), whose sum is σ = 2849053412583. Its totient is φ = 517077063360.

The previous prime is 1302771132097. The next prime is 1302771132107. The reversal of 1302771132100 is 12311772031.

The square root of 1302771132100 is 1141390.

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

It can be written as a sum of positive squares in 4 ways, for example, as 157562951364 + 1145208180736 = 396942^2 + 1070144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1302771132107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1791981937 + ... + 1791982663.

Almost surely, 2^{1302771132100} is an apocalyptic number.

1302771132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1302771132100 is the 1141390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1302771132100

1302771132100 is an abundant number, since it is smaller than the sum of its proper divisors (1546282280483).

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

1302771132100 is an frugal number, since it uses more digits than its factorization.

1302771132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The spelling of 1302771132100 in words is "one trillion, three hundred two billion, seven hundred seventy-one million, one hundred thirty-two thousand, one hundred".