103013121111300 has 216 divisors, whose sum is σ = 338882070430176. Its totient is φ = 27139199247360.

The previous prime is 103013121111287. The next prime is 103013121111317. The reversal of 103013121111300 is 3111121310301.

103013121111300 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 312 + 11 + 11 + 300 = 666.

It is a super-2 number, since 2×103013121111300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23520589 + ... + 27554388.

Almost surely, 2^{103013121111300} is an apocalyptic number.

103013121111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103013121111300 is an abundant number, since it is smaller than the sum of its proper divisors (235868949318876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103013121111300 is a wasteful number, since it uses less digits than its factorization.

103013121111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51075089 (or 51075070 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 103013121111300 its reverse (3111121310301), we get a palindrome (106124242421601).

The spelling of 103013121111300 in words is "one hundred three trillion, thirteen billion, one hundred twenty-one million, one hundred eleven thousand, three hundred".