10361113100 has 72 divisors (see below), whose sum is σ = 24670139760. Its totient is φ = 3753434880.

The previous prime is 10361113067. The next prime is 10361113123. The reversal of 10361113100 is 131116301.

It is a super-3 number, since 3×10361113100³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6290 + ... + 144089.

It is an arithmetic number, because the mean of its divisors is an integer number (342640830).

Almost surely, 2^10361113100 is an apocalyptic number.

10361113100 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 10361113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12335069880).

10361113100 is an abundant number, since it is smaller than the sum of its proper divisors (14309026660).

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

10361113100 is a wasteful number, since it uses less digits than its factorization.

10361113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150459 (or 150452 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10361113100 its reverse (131116301), we get a palindrome (10492229401).

The spelling of 10361113100 in words is "ten billion, three hundred sixty-one million, one hundred thirteen thousand, one hundred".