100311134133210 has 384 divisors, whose sum is σ = 332212830050304. Its totient is φ = 18720476144640.

The previous prime is 100311134133167. The next prime is 100311134133239. The reversal of 100311134133210 is 12331431113001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39891069 + ... + 42331071.

It is an arithmetic number, because the mean of its divisors is an integer number (865137578256).

Almost surely, 2^{100311134133210} is an apocalyptic number.

100311134133210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100311134133210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166106415025152).

100311134133210 is an abundant number, since it is smaller than the sum of its proper divisors (231901695917094).

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

100311134133210 is a wasteful number, since it uses less digits than its factorization.

100311134133210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440118 (or 2440081 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 100311134133210 its reverse (12331431113001), we get a palindrome (112642565246211).

The spelling of 100311134133210 in words is "one hundred trillion, three hundred eleven billion, one hundred thirty-four million, one hundred thirty-three thousand, two hundred ten".