103141525251213 has 48 divisors (see below), whose sum is σ = 161073969419376. Its totient is φ = 63363815792640.

The previous prime is 103141525251151. The next prime is 103141525251217. The reversal of 103141525251213 is 312152525141301.

103141525251213 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 4 + 1 + 5 + 2 + 525 + 121 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 897515601129 + 102244009650084 = 947373^2 + 10111578^2 .

It is not a de Polignac number, because 103141525251213 - 2¹⁰ = 103141525250189 is a prime.

It is a super-2 number, since 2×103141525251213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103141525251217) 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, 32172858 + ... + 35233163.

It is an arithmetic number, because the mean of its divisors is an integer number (3355707696237).

Almost surely, 2^{103141525251213} is an apocalyptic number.

It is an amenable number.

103141525251213 is a deficient number, since it is larger than the sum of its proper divisors (57932444168163).

103141525251213 is a wasteful number, since it uses less digits than its factorization.

103141525251213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67406254 (or 67406251 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 103141525251213 in words is "one hundred three trillion, one hundred forty-one billion, five hundred twenty-five million, two hundred fifty-one thousand, two hundred thirteen".