100141311021320 has 128 divisors (see below), whose sum is σ = 232945325383680. Its totient is φ = 38720187648000.

The previous prime is 100141311021317. The next prime is 100141311021329. The reversal of 100141311021320 is 23120113141001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100141311021292 and 100141311021301.

It is not an unprimeable number, because it can be changed into a prime (100141311021329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79821209 + ... + 81066071.

It is an arithmetic number, because the mean of its divisors is an integer number (1819885354560).

Almost surely, 2^{100141311021320} is an apocalyptic number.

100141311021320 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 100141311021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116472662691840).

100141311021320 is an abundant number, since it is smaller than the sum of its proper divisors (132804014362360).

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

100141311021320 is a wasteful number, since it uses less digits than its factorization.

100141311021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245367 (or 1245363 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100141311021320 its reverse (23120113141001), we get a palindrome (123261424162321).

The spelling of 100141311021320 in words is "one hundred trillion, one hundred forty-one billion, three hundred eleven million, twenty-one thousand, three hundred twenty".