1001131011210 has 192 divisors, whose sum is σ = 2758218946560. Its totient is φ = 231944803200.

The previous prime is 1001131011163. The next prime is 1001131011259. The reversal of 1001131011210 is 121101311001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110118765 + ... + 110127855.

It is an arithmetic number, because the mean of its divisors is an integer number (14365723680).

Almost surely, 2^{1001131011210} is an apocalyptic number.

1001131011210 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 1001131011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379109473280).

1001131011210 is an abundant number, since it is smaller than the sum of its proper divisors (1757087935350).

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

1001131011210 is a wasteful number, since it uses less digits than its factorization.

1001131011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10465 (or 10454 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1001131011210 its reverse (121101311001), we get a palindrome (1122232322211).

The spelling of 1001131011210 in words is "one trillion, one billion, one hundred thirty-one million, eleven thousand, two hundred ten".