10513453213100 has 72 divisors (see below), whose sum is σ = 24170247723888. Its totient is φ = 3955704985600.

The previous prime is 10513453213091. The next prime is 10513453213129. The reversal of 10513453213100 is 131235431501.

It is a super-2 number, since 2×10513453213100² (a number of 27 digits) contains 22 as substring.

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, 1128959 + ... + 4722441.

It is an arithmetic number, because the mean of its divisors is an integer number (335697885054).

Almost surely, 2^{10513453213100} is an apocalyptic number.

10513453213100 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 10513453213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12085123861944).

10513453213100 is an abundant number, since it is smaller than the sum of its proper divisors (13656794510788).

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

10513453213100 is a wasteful number, since it uses less digits than its factorization.

10513453213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595235 (or 3595228 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 10513453213100 its reverse (131235431501), we get a palindrome (10644688644601).

The spelling of 10513453213100 in words is "ten trillion, five hundred thirteen billion, four hundred fifty-three million, two hundred thirteen thousand, one hundred".