120213203331331 has 128 divisors (see below), whose sum is σ = 148964015692800. Its totient is φ = 95589230837760.

The previous prime is 120213203331329. The next prime is 120213203331341. The reversal of 120213203331331 is 133133302312021.

It is a happy number.

It is not a de Polignac number, because 120213203331331 - 2¹ = 120213203331329 is a prime.

It is a super-2 number, since 2×120213203331331² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120213203331331.

It is not an unprimeable number, because it can be changed into a prime (120213203331341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106477593175 + ... + 106477594303.

It is an arithmetic number, because the mean of its divisors is an integer number (1163781372600).

Almost surely, 2^{120213203331331} is an apocalyptic number.

120213203331331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120213203331331 is a deficient number, since it is larger than the sum of its proper divisors (28750812361469).

120213203331331 is a wasteful number, since it uses less digits than its factorization.

120213203331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 120213203331331 its reverse (133133302312021), we get a palindrome (253346505643352).

The spelling of 120213203331331 in words is "one hundred twenty trillion, two hundred thirteen billion, two hundred three million, three hundred thirty-one thousand, three hundred thirty-one".