103135213053 has 48 divisors (see below), whose sum is σ = 154945190400. Its totient is φ = 66027104640.

The previous prime is 103135213039. The next prime is 103135213117. The reversal of 103135213053 is 350312531301.

103135213053 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 352 + 1 + 305 + 3 = 666.

It is not a de Polignac number, because 103135213053 - 2¹⁷ = 103135081981 is a prime.

It is a super-3 number, since 3×103135213053³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103135233053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58631988 + ... + 58633746.

It is an arithmetic number, because the mean of its divisors is an integer number (3228024800).

Almost surely, 2^103135213053 is an apocalyptic number.

It is an amenable number.

103135213053 is a deficient number, since it is larger than the sum of its proper divisors (51809977347).

103135213053 is a wasteful number, since it uses less digits than its factorization.

103135213053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 103135213053 its reverse (350312531301), we get a palindrome (453447744354).

The spelling of 103135213053 in words is "one hundred three billion, one hundred thirty-five million, two hundred thirteen thousand, fifty-three".