10514131100 has 144 divisors (see below), whose sum is σ = 26474618016. Its totient is φ = 3581952000.

The previous prime is 10514131091. The next prime is 10514131141. The reversal of 10514131100 is 113141501.

It is a super-2 number, since 2×10514131100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 4505534 + ... + 4507866.

It is an arithmetic number, because the mean of its divisors is an integer number (183851514).

Almost surely, 2^10514131100 is an apocalyptic number.

10514131100 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 10514131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13237309008).

10514131100 is an abundant number, since it is smaller than the sum of its proper divisors (15960486916).

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

10514131100 is a wasteful number, since it uses less digits than its factorization.

10514131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 10514131100 its reverse (113141501), we get a palindrome (10627272601).

The spelling of 10514131100 in words is "ten billion, five hundred fourteen million, one hundred thirty-one thousand, one hundred".