10131003332010 has 160 divisors (see below), whose sum is σ = 29724874039872. Its totient is φ = 2455400459520.

The previous prime is 10131003332003. The next prime is 10131003332029. The reversal of 10131003332010 is 1023330013101.

It is a happy number.

10131003332010 is a `hidden beast` number, since 1 + 0 + 1 + 310 + 0 + 33 + 320 + 1 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36866337 + ... + 37140123.

Almost surely, 2^{10131003332010} is an apocalyptic number.

10131003332010 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 10131003332010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14862437019936).

10131003332010 is an abundant number, since it is smaller than the sum of its proper divisors (19593870707862).

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

10131003332010 is a wasteful number, since it uses less digits than its factorization.

10131003332010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277970 (or 277961 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10131003332010 its reverse (1023330013101), we get a palindrome (11154333345111).

The spelling of 10131003332010 in words is "ten trillion, one hundred thirty-one billion, three million, three hundred thirty-two thousand, ten".