10513266231501 has 144 divisors (see below), whose sum is σ = 17594396951040. Its totient is φ = 6037085260800.

The previous prime is 10513266231487. The next prime is 10513266231551.

10513266231501 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 26 + 623 + 1 + 5 + 0 + 1 = 666.

10513266231501 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10513266231501 - 2⁷ = 10513266231373 is a prime.

It is a super-3 number, since 3×10513266231501³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513266231551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 337608190 + ... + 337639328.

It is an arithmetic number, because the mean of its divisors is an integer number (122183312160).

Almost surely, 2^{10513266231501} is an apocalyptic number.

10513266231501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10513266231501 is a deficient number, since it is larger than the sum of its proper divisors (7081130719539).

10513266231501 is a wasteful number, since it uses less digits than its factorization.

10513266231501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31408 (or 31394 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

It can be divided in two parts, 1051326 and 6231501, that added together give a palindrome (7282827).

The spelling of 10513266231501 in words is "ten trillion, five hundred thirteen billion, two hundred sixty-six million, two hundred thirty-one thousand, five hundred one".