1013213132010 has 192 divisors, whose sum is σ = 2761542201600. Its totient is φ = 257256299520.

The previous prime is 1013213131991. The next prime is 1013213132017. The reversal of 1013213132010 is 102313123101.

1013213132010 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 313 + 20 + 10 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1013213132017) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 684140470 + ... + 684141950.

It is an arithmetic number, because the mean of its divisors is an integer number (14383032300).

Almost surely, 2^{1013213132010} is an apocalyptic number.

1013213132010 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 1013213132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380771100800).

1013213132010 is an abundant number, since it is smaller than the sum of its proper divisors (1748329069590).

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

1013213132010 is a wasteful number, since it uses less digits than its factorization.

1013213132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2810 counting only the distinct ones).

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

Adding to 1013213132010 its reverse (102313123101), we get a palindrome (1115526255111).

The spelling of 1013213132010 in words is "one trillion, thirteen billion, two hundred thirteen million, one hundred thirty-two thousand, ten".