10141100513 has 8 divisors (see below), whose sum is σ = 10164833640. Its totient is φ = 10117394560.

The previous prime is 10141100479. The next prime is 10141100531. The reversal of 10141100513 is 31500114101.

It can be written as a sum of positive squares in 4 ways, for example, as 3816397729 + 6324702784 = 61777^2 + 79528^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10141100513 - 2²⁸ = 9872665057 is a prime.

It is a super-2 number, since 2×10141100513² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10141100491 and 10141100500.

It is not an unprimeable number, because it can be changed into a prime (10141100813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866843 + ... + 878463.

It is an arithmetic number, because the mean of its divisors is an integer number (1270604205).

Almost surely, 2^10141100513 is an apocalyptic number.

It is an amenable number.

10141100513 is a deficient number, since it is larger than the sum of its proper divisors (23733127).

10141100513 is a wasteful number, since it uses less digits than its factorization.

10141100513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13587.

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

Adding to 10141100513 its reverse (31500114101), we get a palindrome (41641214614).

The spelling of 10141100513 in words is "ten billion, one hundred forty-one million, one hundred thousand, five hundred thirteen".