100300311132 has 192 divisors, whose sum is σ = 278178001920. Its totient is φ = 27533721600.

The previous prime is 100300311101. The next prime is 100300311143. The reversal of 100300311132 is 231113003001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103295407 + ... + 103296377.

It is an arithmetic number, because the mean of its divisors is an integer number (1448843760).

Almost surely, 2^100300311132 is an apocalyptic number.

100300311132 is a gapful number since it is divisible by the number (12) 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 100300311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139089000960).

100300311132 is an abundant number, since it is smaller than the sum of its proper divisors (177877690788).

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

100300311132 is a wasteful number, since it uses less digits than its factorization.

100300311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100300311132 its reverse (231113003001), we get a palindrome (331413314133).

The spelling of 100300311132 in words is "one hundred billion, three hundred million, three hundred eleven thousand, one hundred thirty-two".