1311032432100 has 144 divisors (see below), whose sum is σ = 3924993784320. Its totient is φ = 337472486400.

The previous prime is 1311032432053. The next prime is 1311032432119. The reversal of 1311032432100 is 12342301131.

It is a super-2 number, since 2×1311032432100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42014104 + ... + 42045296.

It is an arithmetic number, because the mean of its divisors is an integer number (27256901280).

Almost surely, 2^{1311032432100} is an apocalyptic number.

1311032432100 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 1311032432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962496892160).

1311032432100 is an abundant number, since it is smaller than the sum of its proper divisors (2613961352220).

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

1311032432100 is a wasteful number, since it uses less digits than its factorization.

1311032432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36070 (or 36063 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1311032432100 its reverse (12342301131), we get a palindrome (1323374733231).

The spelling of 1311032432100 in words is "one trillion, three hundred eleven billion, thirty-two million, four hundred thirty-two thousand, one hundred".