103201311213000 has 3072 divisors, whose sum is σ = 499154364334080. Its totient is φ = 18529606656000.

The previous prime is 103201311212971. The next prime is 103201311213079. The reversal of 103201311213000 is 312113102301.

103201311213000 is a `hidden beast` number, since 1 + 0 + 32 + 0 + 1 + 311 + 21 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 9738723702 + ... + 9738734298.

It is an arithmetic number, because the mean of its divisors is an integer number (162485144640).

Almost surely, 2^{103201311213000} is an apocalyptic number.

103201311213000 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 103201311213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249577182167040).

103201311213000 is an abundant number, since it is smaller than the sum of its proper divisors (395953053121080).

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

103201311213000 is a wasteful number, since it uses less digits than its factorization.

103201311213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10725 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103201311213000 its reverse (312113102301), we get a palindrome (103513424315301).

The spelling of 103201311213000 in words is "one hundred three trillion, two hundred one billion, three hundred eleven million, two hundred thirteen thousand".