103313012223120 has 240 divisors, whose sum is σ = 376248083635008. Its totient is φ = 23380596556800.

The previous prime is 103313012223059. The next prime is 103313012223121. The reversal of 103313012223120 is 21322210313301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×103313012223120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103313012223121) 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, 42302934 + ... + 44678453.

Almost surely, 2^{103313012223120} is an apocalyptic number.

103313012223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313012223120 is an abundant number, since it is smaller than the sum of its proper divisors (272935071411888).

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

103313012223120 is a wasteful number, since it uses less digits than its factorization.

103313012223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86981518 (or 86981505 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103313012223120 its reverse (21322210313301), we get a palindrome (124635222536421).

The spelling of 103313012223120 in words is "one hundred three trillion, three hundred thirteen billion, twelve million, two hundred twenty-three thousand, one hundred twenty".