1006131313130 has 32 divisors (see below), whose sum is σ = 1918320433920. Its totient is φ = 378630201600.

The previous prime is 1006131313127. The next prime is 1006131313189. The reversal of 1006131313130 is 313131316001.

1006131313130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1006131313130² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006131313096 and 1006131313105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726350 + ... + 1593689.

It is an arithmetic number, because the mean of its divisors is an integer number (59947513560).

Almost surely, 2^{1006131313130} is an apocalyptic number.

1006131313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006131313130 is a deficient number, since it is larger than the sum of its proper divisors (912189120790).

1006131313130 is a wasteful number, since it uses less digits than its factorization.

1006131313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322614.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1006131313130 its reverse (313131316001), we get a palindrome (1319262629131).

The spelling of 1006131313130 in words is "one trillion, six billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred thirty".