10100011320 has 288 divisors, whose sum is σ = 38320074000. Its totient is φ = 2300368896.

The previous prime is 10100011309. The next prime is 10100011333. The reversal of 10100011320 is 2311000101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5943831 + ... + 5945529.

Almost surely, 2^10100011320 is an apocalyptic number.

10100011320 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 10100011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160037000).

10100011320 is an abundant number, since it is smaller than the sum of its proper divisors (28220062680).

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

10100011320 is a wasteful number, since it uses less digits than its factorization.

10100011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100011320 its reverse (2311000101), we get a palindrome (12411011421).

The spelling of 10100011320 in words is "ten billion, one hundred million, eleven thousand, three hundred twenty".