1006131313131 has 8 divisors (see below), whose sum is σ = 1533152477184. Its totient is φ = 574932178920.

The previous prime is 1006131313127. The next prime is 1006131313189. The reversal of 1006131313131 is 1313131316001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1006131313131 - 2² = 1006131313127 is a prime.

It is a super-2 number, since 2×1006131313131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006131313631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23955507435 + ... + 23955507476.

It is an arithmetic number, because the mean of its divisors is an integer number (191644059648).

Almost surely, 2^{1006131313131} is an apocalyptic number.

1006131313131 is a deficient number, since it is larger than the sum of its proper divisors (527021164053).

1006131313131 is an equidigital number, since it uses as much as digits as its factorization.

1006131313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47911014921.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 1006131313131 its reverse (1313131316001), we get a palindrome (2319262629132).

The spelling of 1006131313131 in words is "one trillion, six billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred thirty-one".