103133003121120 has 192 divisors, whose sum is σ = 371360519824896. Its totient is φ = 23568070010880.

The previous prime is 103133003121119. The next prime is 103133003121143. The reversal of 103133003121120 is 21121300331301.

It is a happy number.

It is a super-2 number, since 2×103133003121120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11902690 + ... + 18653150.

It is an arithmetic number, because the mean of its divisors is an integer number (1934169374088).

Almost surely, 2^{103133003121120} is an apocalyptic number.

103133003121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103133003121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185680259912448).

103133003121120 is an abundant number, since it is smaller than the sum of its proper divisors (268227516703776).

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

103133003121120 is a wasteful number, since it uses less digits than its factorization.

103133003121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755033 (or 6755025 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103133003121120 its reverse (21121300331301), we get a palindrome (124254303452421).

The spelling of 103133003121120 in words is "one hundred three trillion, one hundred thirty-three billion, three million, one hundred twenty-one thousand, one hundred twenty".