103012233331320 has 512 divisors, whose sum is σ = 355240352160000. Its totient is φ = 26531741859840.

The previous prime is 103012233331313. The next prime is 103012233331339. The reversal of 103012233331320 is 23133332210301.

103012233331320 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 2 + 2 + 3 + 3 + 331 + 320 = 666.

It is a super-2 number, since 2×103012233331320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11866397380 + ... + 11866406060.

Almost surely, 2^{103012233331320} is an apocalyptic number.

103012233331320 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 103012233331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177620176080000).

103012233331320 is an abundant number, since it is smaller than the sum of its proper divisors (252228118828680).

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

103012233331320 is a wasteful number, since it uses less digits than its factorization.

103012233331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103012233331320 its reverse (23133332210301), we get a palindrome (126145565541621).

It can be divided in two parts, 103012 and 233331320, that added together give a palindrome (233434332).

The spelling of 103012233331320 in words is "one hundred three trillion, twelve billion, two hundred thirty-three million, three hundred thirty-one thousand, three hundred twenty".