10134344503251 has 64 divisors (see below), whose sum is σ = 15384999168000. Its totient is φ = 6590199052800.

The previous prime is 10134344503249. The next prime is 10134344503271. The reversal of 10134344503251 is 15230544343101.

10134344503251 is a `hidden beast` number, since 1 + 0 + 13 + 4 + 344 + 50 + 3 + 251 = 666.

It is not a de Polignac number, because 10134344503251 - 2¹ = 10134344503249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10134344503211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1120927291 + ... + 1120936331.

It is an arithmetic number, because the mean of its divisors is an integer number (240390612000).

Almost surely, 2^{10134344503251} is an apocalyptic number.

10134344503251 is a deficient number, since it is larger than the sum of its proper divisors (5250654664749).

10134344503251 is a wasteful number, since it uses less digits than its factorization.

10134344503251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11977 (or 11971 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10134344503251 its reverse (15230544343101), we get a palindrome (25364888846352).

The spelling of 10134344503251 in words is "ten trillion, one hundred thirty-four billion, three hundred forty-four million, five hundred three thousand, two hundred fifty-one".