103133120333100 has 864 divisors, whose sum is σ = 374452745990400. Its totient is φ = 21663239270400.

The previous prime is 103133120333099. The next prime is 103133120333101. The reversal of 103133120333100 is 1333021331301.

It is an interprime number because it is at equal distance from previous prime (103133120333099) and next prime (103133120333101).

It is a super-2 number, since 2×103133120333100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103133120333101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1154952054 + ... + 1155041346.

Almost surely, 2^{103133120333100} is an apocalyptic number.

103133120333100 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 103133120333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187226372995200).

103133120333100 is an abundant number, since it is smaller than the sum of its proper divisors (271319625657300).

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

103133120333100 is a wasteful number, since it uses less digits than its factorization.

103133120333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89475 (or 89455 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 103133120333100 its reverse (1333021331301), we get a palindrome (104466141664401).

The spelling of 103133120333100 in words is "one hundred three trillion, one hundred thirty-three billion, one hundred twenty million, three hundred thirty-three thousand, one hundred".